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Finding the Third Proportional to 195,225 and 295,296

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Solution

The third proportional to 195,225 and 295,296 is: 446,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,225 : 295,296 = 295,296 : x
  2. Step 2: Convert to fraction form
    195,225/295,296 = 295,296/x
  3. Step 3: Cross multiply
    195,225x = 295,296 × 295,296
  4. Step 4: Simplify right side
    195,225x = 87,199,727,616
  5. Step 5: Solve for x
    x = 87,199,727,616/195,225
  6. Step 6: Final answer
    x = 446,662.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.